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Limiting energy spectrum of a saturated radiation beltThe condition for magnetospheric wave growth in the presence of anisotropic charged particle distributions is used to extend the Kennel-Petschek theory that traditionally imposes an upper bound on the integral flux of charged particles at energies above a certain threshold to provide a limit on the differential flux at any energy above this threshold. A closed-form expression is derived for the limiting energy spectrum consistent with marginal occurrence of a magnetospheric maser at all wave frequencies below a certain fraction of the electron or proton gyrofrequency. The bounded integral can be recast in such a way that repeated differentiations with respect to v(parallel) actually generate a closed expression for the limiting form of the velocity space distribution, and thus for the limiting energy spectrum of the corresponding particles, whenever the anisotropy parameter is an integer.
Document ID
19880038005
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Schulz, Michael
(Aerospace Corp. Space Sciences Laboratory, El Segundo, CA, United States)
Davidson, Gerald T.
(Lockheed Research Laboratory Palo Alto, CA, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1988
Publication Information
Publication: Journal of Geophysical Research
Volume: 93
ISSN: 0148-0227
Subject Category
Space Radiation
Accession Number
88A25232
Funding Number(s)
CONTRACT_GRANT: F04701-85-C-0086
CONTRACT_GRANT: NAGW-861
CONTRACT_GRANT: NASW-3839
CONTRACT_GRANT: NSF ATM-82-15252
CONTRACT_GRANT: F04701-84-C-0085
Distribution Limits
Public
Copyright
Other

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